Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784ba |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-32332608 = -1 · 26 · 38 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76,-78] |
[a1,a2,a3,a4,a6] |
Generators |
[37:234:1] |
Generators of the group modulo torsion |
j |
748613312/505197 |
j-invariant |
L |
4.9211322330839 |
L(r)(E,1)/r! |
Ω |
1.1799276254015 |
Real period |
R |
2.0853534264059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784o1 7392i4 44352w1 103488bw1 |
Quadratic twists by: -4 8 -3 -7 |